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Finding the Fourth Proportional to 1,344.20, 2,013.60 and 695.30

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Solution

The fourth proportional to 1,344.20, 2,013.60 and 695.30 is: 1,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.20 : 2,013.60 = 695.30 : x
  2. Step 2: Convert to fraction form
    1,344.20/2,013.60 = 695.30/x
  3. Step 3: Cross multiply
    1,344.20x = 2,013.60 × 695.30
  4. Step 4: Simplify right side
    1,344.20x = 1,400,056.08
  5. Step 5: Solve for x
    x = 1,400,056.08/1,344.20
  6. Step 6: Final answer
    x = 1,041.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.